The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours. how much caffeine is left in a person's body 18 hours after drinking two mountain dew sodas?

The quantity of the caffeine left is 12.32

Step-by-step explanation:

- The given is :

The function that represents the amount of caffeine, in milligrams,

remaining in a body after drinking two mountain dew sodas is given by

f(t) = 110, where t is time in hours

- The function is an exponential function with initial amount of caffeine

  110 and a factor of decay (0.8855) and an exponent (t) which

   represents the time after drinking 2 mountain dew

- We need to find the quantity of caffeine left in a person's body 18

  hours after drinking two mountain dew sodas

∵ f(t) = 110

∵ t = 18 hours

- Substitute the value of t in the function

∴ f(t) = 110

∴ f(t) = 12.32

* The quantity of the caffeine left is 12.32

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step-by-step explanation: